312001403201010 has 96 divisors (see below), whose sum is σ = 830247829931520. Its totient is φ = 81247959201024.

The previous prime is 312001403200999. The next prime is 312001403201023. The reversal of 312001403201010 is 10102304100213.

312001403201010 is a `hidden beast` number, since 3 + 1 + 200 + 1 + 40 + 320 + 101 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9263502 + ... + 26642358.

It is an arithmetic number, because the mean of its divisors is an integer number (8648414895120).

Almost surely, 2^{312001403201010} is an apocalyptic number.

312001403201010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312001403201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415123914965760).

312001403201010 is an abundant number, since it is smaller than the sum of its proper divisors (518246426730510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312001403201010 is a wasteful number, since it uses less digits than its factorization.

312001403201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17383552 (or 17383549 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312001403201010 its reverse (10102304100213), we get a palindrome (322103707301223).

The spelling of 312001403201010 in words is "three hundred twelve trillion, one billion, four hundred three million, two hundred one thousand, ten".